Search a number
-
+
56451192 = 2337734603
BaseRepresentation
bin1101011101011…
…0000001111000
310221020000110220
43113112001320
5103422414232
65333540040
71253553510
oct327260170
9127200426
1056451192
1129957686
1216aa4620
13b906895
1476d6840
154e5142c
hex35d6078

56451192 has 64 divisors (see below), whose sum is σ = 163534080. Its totient is φ = 15904512.

The previous prime is 56451191. The next prime is 56451193. The reversal of 56451192 is 29115465.

56451192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56451191) and next prime (56451193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56451191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9963 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (2555220).

Almost surely, 256451192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56451192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81767040).

56451192 is an abundant number, since it is smaller than the sum of its proper divisors (107082888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56451192 is a wasteful number, since it uses less digits than its factorization.

56451192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4688 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 56451192 is about 7513.4008278542. The cubic root of 56451192 is about 383.6109884230.

The spelling of 56451192 in words is "fifty-six million, four hundred fifty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 4603 6132 9206 12264 13809 18412 27618 32221 36824 55236 64442 96663 110472 128884 193326 257768 336019 386652 672038 773304 1008057 1344076 2016114 2352133 2688152 4032228 4704266 7056399 8064456 9408532 14112798 18817064 28225596 56451192